205902157 has 2 divisors, whose sum is σ = 205902158. Its totient is φ = 205902156.

The previous prime is 205902131. The next prime is 205902163. The reversal of 205902157 is 751209502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190053796 + 15848361 = 13786^2 + 3981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205902157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205902857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102951078 + 102951079.

It is an arithmetic number, because the mean of its divisors is an integer number (102951079).

Almost surely, 2^205902157 is an apocalyptic number.

It is an amenable number.

205902157 is a deficient number, since it is larger than the sum of its proper divisors (1).

205902157 is an equidigital number, since it uses as much as digits as its factorization.

205902157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 205902157 is about 14349.2911671622. The cubic root of 205902157 is about 590.5005395185.

The spelling of 205902157 in words is "two hundred five million, nine hundred two thousand, one hundred fifty-seven".